What is the Least Common Multiple of 82359 and 82374?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 82359 and 82374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82359 and 82374, than apply into the LCM equation.

GCF(82359,82374) = 3
LCM(82359,82374) = ( 82359 × 82374) / 3
LCM(82359,82374) = 6784240266 / 3
LCM(82359,82374) = 2261413422

Least Common Multiple (LCM) of 82359 and 82374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82359 and 82374. First we will calculate the prime factors of 82359 and 82374.

Prime Factorization of 82359

Prime Factorization of 82374

Now multiplying the highest exponent prime factors to calculate the LCM of 82359 and 82374.

LCM(82359,82374) = 3² × 9151¹ × 2¹ × 13729¹
LCM(82359,82374) = 2261413422